New Type Paley-Wiener Theorems for the Dunkl Transform on R

DOI10.1080/10652460290029635zbMath1039.33004OpenAlexW2030143343MaRDI QIDQ4409775

Chirine Chettaoui, Khalifa Trimèche

Publication date: 30 June 2003

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460290029635

zbMATH Keywords

Paley-Wiener theoremDunkl transform

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other transforms and operators of Fourier type (43A32) Orthogonal polynomials and functions associated with root systems (33C52)

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Cites Work

• The Dunkl transform
• On the range of the Hankel and extended Hankel transforms
• Integral Kernels with Reflection Group Invariance
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• A Note on the Quantum Rule of the Harmonic Oscillator
• Unnamed Item

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